I think you're lucky to have her. I agree that just because she's a T, doesn't mean you should have to be limited in your sharing with her -- lots of people talk about personal matters with family members and lean on them for support -- that's a good thing, IMO. Assuming your relationship goes two ways, and that you're not using her like a therapist in a one-directional way, I don't see any problem.
But the fact that you said you were worried about mixed up roles before your T even said anything is interesting. Because of that, it's probably an area to further explore...
ETA: Your family member is probably well aware of T boundary rules too. Maybe you could ask her what she's comfortable with and if she's ever felt things were a problem? Just to sort of confirm?